Riemann-Roch for stacky matrix factorizations
Algebraic Geometry
2022-02-10 v1
Abstract
We establish a Hirzebruch-Riemann-Roch type theorem and Grothendieck-Riemann-Roch type theorem for matrix factorizations on quotient Deligne-Mumford stacks. For this we first construct a Hochschild-Kostant-Rosenberg type isomorphism explicit enough to yield a categorical Chern character formula. We next find an expression of the canonical pairing of Shklyarov under the isomorphism.
Keywords
Cite
@article{arxiv.2202.04418,
title = {Riemann-Roch for stacky matrix factorizations},
author = {Dongwook Choa and Bumsig Kim and Bhamidi Sreedhar},
journal= {arXiv preprint arXiv:2202.04418},
year = {2022}
}
Comments
32 pages, preliminary version